1. (21 pts, 3 pts each) True or False Questions: a) _______ If two events A and B are not mutually exclusive, then A and B are independent of each other. b) _______ If two events are independent, then P(A U B) = P(A) + P(B). c) _______ A standard deviation of a data sample cannot be negative.d) _______ In a hypothesis test, the p-value denotes the probability of accepting the null hypothesis by mistake.e) _______ For a binomial distribution B(n, p), only when p = 0.5, it can be approximated as a normaldistribution when n is large. f) _______ For a binomial distribution B(n, p), given a constant value of p, the varianceincreases with increasing p.g) _______ Regardless of the original distribution where the data is sampled from, the sample mean alwaysfollows normal distribution if the sample size is large enough (e.g., n > 30).